Harry Partch related scales: Difference between revisions

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[[Harry Partch]] was an influential composer, musician, theorist and instrument maker. He was also an influential [[scalesmith]], and this page documents some of the scales he made, directly ~~and~~ indirectly.

[[Harry Partch]] was an influential composer, musician, theorist and instrument maker. He was also an influential [[scalesmith]], and this page documents some of the scales he made whether directly or indirectly.

== Scales made by Partch himself ==

The famous Partch scale is his 43 note Genesis or "pure" scale~~. The Wikipedia article on it is [http://en.wikipedia.org/wiki/Harry_Partch%27s_43-tone_scale here], and the scale itself [[partch_43|here]]~~.

The famous Partch scale is his 43 note [[partch_43|Genesis scale]] or "pure" scale.

Some other Partch scales are his 29-note [[partch_29-av|adapted viola scale]], his 37-note [[partch_37|draft exposition scale]], his [[partch_41a|41-note exposition scale]] and his [[partch_43a|43-note exposition scale]].

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By removing 11/10 and 20/11 from the Genesis scale, we obtain a [[:Category:41-tone scales|41-note]] [[epimorphic]] scale which has been called [[genesisminus|Genesis Minus]]; this scale is close to being a [[Fokker block]], tempering to a [[MOS]] in [[cassandra]], [[magic]] and [[rodan]] temperaments, for each of which the [[generator]]s range from -20 to 20, leading to a symmetrical scale.

[[Paul Erlich]] constructed [[cassmagoctrod~~|this~~]] Fokker block which is also a MOS in [[octacot]] temperament, with generator range -20 to 20. By chosing other linearly independent temperaments supported by the [[11-limit]] [[patent val]] for [[41edo]] to add to cassandra, magic and rodan and requiring the range of generators to be -20 to 20 for that temperament also, we can find other alternatives to Genesis Minus based on [[cassmagmonkrod|monkey]], [[cassmagsuprod|superkleismic]], or [[cassmagmirrod|miracle]], which do equally well measured by differences from Genesis Minus.

[[Paul Erlich]] constructed the [[cassmagoctrod]] Fokker block which is also a MOS in [[octacot]] temperament, with generator range -20 to 20. By chosing other linearly independent temperaments supported by the [[11-limit]] [[patent val]] for [[41edo]] to add to cassandra, magic and rodan and requiring the range of generators to be -20 to 20 for that temperament also, we can find other alternatives to Genesis Minus based on [[cassmagmonkrod|monkey]], [[cassmagsuprod|superkleismic]], or [[cassmagmirrod|miracle]], which do equally well measured by differences from Genesis Minus.

A [[:Category:58-tone scales|58-note]] scale is as small as is possible for an epimorphic scale containing Genesis, for example [[genesisplus~~|this one~~]]. By way of comparison, here is a Fokker block containing 35 of the 43 notes of Genesis: [[~~mynadiaechhemi|~~mynadiaechhemi]]. Mynadiaechhemi also contains a complete 11-limit [[tonality diamond]], and 58 is the smallest size of epimorphic scale for which that is possible.

A [[:Category:58-tone scales|58-note]] scale is as small as is possible for an epimorphic scale containing Genesis, for example [[genesisplus]]. By way of comparison, here is a Fokker block containing 35 of the 43 notes of Genesis: [[mynadiaechhemi]]. Mynadiaechhemi also contains a complete 11-limit [[tonality diamond]], and 58 is the smallest size of epimorphic scale for which that is possible.

== See also ==

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-[[Harry Partch]] was an influential composer, musician, theorist and instrument maker. He was also an influential [[scalesmith]], and this page documents some of the scales he made, directly and indirectly.
+[[Harry Partch]] was an influential composer, musician, theorist and instrument maker. He was also an influential [[scalesmith]], and this page documents some of the scales he made whether directly or indirectly.
 == Scales made by Partch himself ==
-The famous Partch scale is his 43 note Genesis or "pure" scale. The Wikipedia article on it is [http://en.wikipedia.org/wiki/Harry_Partch%27s_43-tone_scale here], and the scale itself [[partch_43|here]].
+{{Wikipedia|Harry Partch’s 43-tone scale}}
+The famous Partch scale is his 43 note [[partch_43|Genesis scale]] or "pure" scale.
 Some other Partch scales are his 29-note [[partch_29-av|adapted viola scale]], his 37-note [[partch_37|draft exposition scale]], his [[partch_41a|41-note exposition scale]] and his [[partch_43a|43-note exposition scale]].
@@ Line 9: / Line 10: @@
 By removing 11/10 and 20/11 from the Genesis scale, we obtain a [[:Category:41-tone scales|41-note]] [[epimorphic]] scale which has been called [[genesisminus|Genesis Minus]]; this scale is close to being a [[Fokker block]], tempering to a [[MOS]] in [[cassandra]], [[magic]] and [[rodan]] temperaments, for each of which the [[generator]]s range from -20 to 20, leading to a symmetrical scale.
-[[Paul Erlich]] constructed [[cassmagoctrod|this]] Fokker block which is also a MOS in [[octacot]] temperament, with generator range -20 to 20. By chosing other linearly independent temperaments supported by the [[11-limit]] [[patent val]] for [[41edo]] to add to cassandra, magic and rodan and requiring the range of generators to be -20 to 20 for that temperament also, we can find other alternatives to Genesis Minus based on [[cassmagmonkrod|monkey]], [[cassmagsuprod|superkleismic]], or [[cassmagmirrod|miracle]], which do equally well measured by differences from Genesis Minus.
+[[Paul Erlich]] constructed the [[cassmagoctrod]] Fokker block which is also a MOS in [[octacot]] temperament, with generator range -20 to 20. By chosing other linearly independent temperaments supported by the [[11-limit]] [[patent val]] for [[41edo]] to add to cassandra, magic and rodan and requiring the range of generators to be -20 to 20 for that temperament also, we can find other alternatives to Genesis Minus based on [[cassmagmonkrod|monkey]], [[cassmagsuprod|superkleismic]], or [[cassmagmirrod|miracle]], which do equally well measured by differences from Genesis Minus.
-A [[:Category:58-tone scales|58-note]] scale is as small as is possible for an epimorphic scale containing Genesis, for example [[genesisplus|this one]]. By way of comparison, here is a Fokker block containing 35 of the 43 notes of Genesis: [[mynadiaechhemi|mynadiaechhemi]]. Mynadiaechhemi also contains a complete 11-limit [[tonality diamond]], and 58 is the smallest size of epimorphic scale for which that is possible.
+A [[:Category:58-tone scales|58-note]] scale is as small as is possible for an epimorphic scale containing Genesis, for example [[genesisplus]]. By way of comparison, here is a Fokker block containing 35 of the 43 notes of Genesis: [[mynadiaechhemi]]. Mynadiaechhemi also contains a complete 11-limit [[tonality diamond]], and 58 is the smallest size of epimorphic scale for which that is possible.
 == See also ==